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Finding the Fourth Proportional to 238,515.20, 357,772.80 and 145,203.20

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Solution

The fourth proportional to 238,515.20, 357,772.80 and 145,203.20 is: 217,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,515.20 : 357,772.80 = 145,203.20 : x
  2. Step 2: Convert to fraction form
    238,515.20/357,772.80 = 145,203.20/x
  3. Step 3: Cross multiply
    238,515.20x = 357,772.80 × 145,203.20
  4. Step 4: Simplify right side
    238,515.20x = 51,949,755,432.96
  5. Step 5: Solve for x
    x = 51,949,755,432.96/238,515.20
  6. Step 6: Final answer
    x = 217,804.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.